KMS Of Academy of mathematics and systems sciences, CAS
| Shock reflection for the damped P-system | |
| Hsiao, L; Li, HL | |
| 2002-09-01 | |
| Source Publication | QUARTERLY OF APPLIED MATHEMATICS
 |
| ISSN | 0033-569X |
| Volume | 60Issue:3Pages:437-460 |
| Abstract | The global existence and the asymptotic behavior of the weak entropy solution, the piecewise smooth solution with one shock discontinuity, on a strip domain is investigated in the present paper. We show that, for small smooth initial data and boundary value with only one small jump at (x, t) = (0, 0), the piecewise smooth solution with one shock discontinuity exists globally in time. The shock discontinuity begins from (x, t) = (0, 0), moves forward and reflects in a finite time at the boundary x = 1 to form a I-shock, which goes backward and reflects at x = 0 also in a finite time to create a new 2-shock. The shock strength decays exponentially and never disappears in finite time. As t --> infinity, this solution converges to a constant state determined by the initial and the boundary conditions. |
| Keyword | damped P-system shock reflection asymptotic behavior decay rates |
| Language | 英语 |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000177129700003 |
| Publisher | AMER MATHEMATICAL SOC |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/17628 |
| Collection | 中国科学院数学与系统科学研究院 |
| Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China 3.SISSA, I-34014 Trieste, Italy |
| Recommended Citation GB/T 7714 | Hsiao, L,Li, HL. Shock reflection for the damped P-system[J]. QUARTERLY OF APPLIED MATHEMATICS,2002,60(3):437-460. |
| APA | Hsiao, L,&Li, HL.(2002).Shock reflection for the damped P-system.QUARTERLY OF APPLIED MATHEMATICS,60(3),437-460. |
| MLA | Hsiao, L,et al."Shock reflection for the damped P-system".QUARTERLY OF APPLIED MATHEMATICS 60.3(2002):437-460. |
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